GCD of 248, 507, 387, 460 Calculator

Given Input numbers are 248, 507, 387, 460

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 248, 507, 387, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 248, 507, 387, 460 is 1.

Therefore, GCD of numbers 248, 507, 387, 460 is 1

Given Input Data is 248, 507, 387, 460

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 248 is 2 x 2 x 2 x 31

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 460 is 2 x 2 x 5 x 23

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(248, 507) = 125736

GCD(248, 507) = ( 248 x 507 ) / 125736

GCD(248, 507) = 125736 / 125736

GCD(248, 507) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 387

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 387) = 387

GCD(1, 387) = ( 1 x 387 ) / 387

GCD(1, 387) = 387 / 387

GCD(1, 387) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

GCD of 248, 507, 387, 460 is 1

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1. What is the GCD of 248, 507, 387, 460?

GCD of 248, 507, 387, 460 is 1

2. Where do I get the detailed procedure to find GCD of 248, 507, 387, 460?

You can find a detailed procedure to find GCD of 248, 507, 387, 460 on our page.

3. How to find GCD of 248, 507, 387, 460 on a calculator?

You can find the GCD of 248, 507, 387, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.